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Mathematics

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A Mathematician’s Unanticipated Journey Through the Physical World

December 16, 2020

Lauren Williams has charted an adventurous mathematical career out of the pieces of a fundamental object called the positive Grassmannian.

How the Slowest Computer Programs Illuminate Math’s Fundamental Limits

December 10, 2020

The goal of the “busy beaver” game is to find the longest-running computer program. Its pursuit has surprising connections to some of the most profound questions and concepts in mathematics.

After Centuries, a Seemingly Simple Math Problem Gets an Exact Solution

December 9, 2020

Mathematicians have long pondered the reach of a grazing goat tied to a fence, only finding approximate answers until now.

Q&A

The Computer Scientist Who Shrinks Big Data

December 7, 2020

Jelani Nelson designs clever algorithms that only have to remember slivers of massive data sets. He also teaches kids in Ethiopia how to code.

Undergraduate Math Student Pushes Frontier of Graph Theory

November 30, 2020

At 21, Ashwin Sah has produced a body of work that senior mathematicians say is nearly unprecedented for a college student.

How to Solve Our Three John Conway-Inspired Puzzles

November 20, 2020

A numerical puzzle, a geometric puzzle and a game of random patterns — all with connections to the legendary mathematician — elicited an enthusiastic response from readers.

Scientists Uncover the Universal Geometry of Geology

November 19, 2020

An exercise in pure mathematics has led to a wide-ranging theory of how the world comes together.

Some Math Problems Seem Impossible. That Can Be a Good Thing.

November 18, 2020

Struggling with math problems that can’t be solved helps us better understand the ones we can.

Q&A

Searching Symbols for the Rules of Change

November 17, 2020

Bryna Kra searches for the patterns in sequences of numbers that explain how complicated dynamical systems evolve over time.

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